PSLE A bookstore is having a book sale.
The 1st book is at 25% discount.
The 2nd book is at 30% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Abi and Paul each bought two books at the sale.
- Abi's books were priced at $32 and $38. How much more did she pay for the 1st book than the 2nd book?
- Paul paid a total of $32.15 for his two books. He paid $8.35 more for the 1st book than for the 2nd book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $38 |
100% $32 |
|
Discount |
- 25% |
- 30% |
|
Sale price |
75% |
70% |
? |
(a)
Selling price of the 1st book
= 75% x 38
=
75100 x 38
= $28.50
Selling price of 2nd book
= 70% x 32
=
70100 x 32
= $22.40
Amount that Abi paid more for the 1st book than the 2nd book
= 28.50 - 22.40
= $6.10
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 25% |
- 30% |
|
Sale price |
75%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $8.35 |
1 u |
$32.15 |
(b)
Sale price of the 1st book = 1 u + 8.35
Sale price of the 2nd book = 1 u
Total amount that Paul paid
= 1 u + 8.35 + 1 u
= 2 u + 8.35
2 u + 8.35 = 32.15
2 u = 32.15 - 8.35
2 u = 23.80
1 u = 23.80 ÷ 2 = 11.90
Sale price of the 1st book
= 1 u + 8.35
= $20.25
75% of the price = $20.25
100% of the price =
20.2575 x 100 = $27
Selling price of the 1st book before discount = $27
Answer(s): (a) $6.10; (b) $27